Answer:
96 squares
Step-by-step explanation:
The number of squares is ...
(wall area)/(square area) = (24 ft²)/(1/4 ft²) = 24×4 = 96 . . . . squares
Answer:
96 squares
Step-by-step explanation:
Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation
4. sine of x divided by one minus cosine of x + sine of x divided by one minus cosine of x = 2 csc x
(sin x)/(1-cosx) + sinx/(1-cosx) =
2 csc x
We have like denominators.
Just add the numerators.
(2 sin x)/(1 - cos x) = 2 csc x
[1/(1 - cos x)](2 sin x) = 2 csc x
Take it from here.
Answer:
a ) sin x ( \frac{sinx}{cosx}*cosx- \frac{cosx}{sinx}+*cos x)= \\ sinx(sinx- \frac{cos^{2} x}{sin^{2} x})= sin^{2}x-cos^{2} x=1-cos^{2}x-cos^{2} x= \\ 1-2cos^{2}x
b ) 1 + \frac{1}{cos^{2} x} *sin^{2} x=1+ \frac{sin^{2} x}{cos^{2} x} = \\ \frac{cos {2} x+sin x^{2} x}{cos^{2} x} = \frac{1}{cos^{2} x} =sec^{2} x
c) \frac{sinx}{1-cosx} + \frac{sinx}{1+cosx}= \frac{sin x ( 1+cosx)+sinx(1-cosx)}{1-cos^{2} x} = \\ \frac{sinx+sinxcosx+sinx-sinxcosxx}{1-cos^{2}x }= \\ \frac{2sinx}{sin^{2} x} = \frac{2}{sinx}=2 csc x
d) -tan ^{2}x+sec ^{2}x=- \frac{sin ^{2} x}{cos ^{2} x} + \frac{1}{cos^{2} x} = \\ \frac{1-sin^{2x} }{cos ^{2}x }= \frac{cos^{2} x}{cos^{2}x } =1
Step-by-step explanation:
Please help me with this math question
Answer:
The point is (3 , 6)
Step-by-step explanation:
* Lets explain how to solve this problem
- We want to reflect the point (x , y) across the line y = a, where a
any constant
- The line y = a is a horizontal line, means parallel to x-axis
- We will change the y-coordinates only because we will move
up and down
- We will move the point and the line by a units down if a is positive
or up if a is negative to make the line is the x-axis and also move the
point by a units as the line
- Then we will reflect the new point across the x-axis means we will
change the sign of y-coordinate
- After that we will add the value of a again to the y-coordinate to
the point after reflection
* Lets solve the problem
∵ The point is (3 , 4)
∵ The point will reflect across the line y = 5
- We take the line 5 units down to be the x-axis and also we will take
the point down 5 units
∴ The point = (3 , 4 - 5) = (3 , -1)
- Now reflect the point across the x-axis by change the sign of the
y-coordinate
∴ The new point is (3 , 1)
- Now add the y-coordinate of the new point the 5 units which we
subtracted before
∴ The image of the point P after reflection across the line y = 5 is
(3 , 1 + 5) = (3 , 6)
* The point is (3 , 6)
Will's meal of grilled chicken strips and carrots contained a total of 333 calories. The bag of grilled chicken strips contained x servings of 110 calories each. The bag of carrots contained y servings of 29 calories each. Which equation written in standard form represents the number of servings of chicken strips and carrots that Will may have eaten?
Answer:
[tex]110x+29y=333[/tex]
Step-by-step explanation:
Will's meal of grilled chicken strips and carrots contained a total of 333 calories.
The bag of grilled chicken strips contained x servings of 110 calories each, making total 110x.
The bag of carrots contained y servings of 29 calories each making total 29y.
So, the equation that represents the number of servings of chicken strips and carrots that Will may have eaten
[tex]110x+29y=333[/tex]
Percy is watching people order frozen yogurt at a yogurt shop. He counts 25 out of 100 people who order raspberry. This means that his experimental probability of someone ordering raspberry yogurt is 14, or 25%. Statistics for the distribution of frozen yogurt sales at the yogurt shop are shown. Which statement is true?
Answer:
The smaller the sample of people Percy observes, the easier it is to not match the percentage given in the table.
Answer:The smaller the sample of people Percy observes, the easier it is to not match the percentage given in the table.
Step-by-step explanation:
The smaller the sample of people Percy observes, the easier it is to not match the percentage given in the table.
Kira looked through online census information to determine the average number of people living in the homes in her city. What is true about Kira's data collection? Kira used an observational study where the data is qualitative. Kira used an observational study where the data is quantitative. Kira used published data that is qualitative. Kira used published data that is quantitative.
Answer:
Kira used published data that is quantitative
Step-by-step explanation:
Online census data is published data. It is numerical by nature, hence quantitative.
Answer:
Kira used published data that is quantitative.
Step-by-step explanation:
Firstly, we need to identify if the data is qualitative or quantitative.
The data is average number of people living in the homes.
Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.
Since the average number of people can be counted and measured, the data is Quantitative.
In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.
Therefore, the correct answer will be:
Kira used published data that is quantitative.
An artist is creating a large painting from a photograph by dividing the photograph into squares and dilating each square by a factor of 4. If the photograph is 4 in. by 6in., what is the perimeter of the painting? HELP ASAP!!
80 in.
384 in.
28 in.
Answer:
80 in.
Step-by-step explanation:
The dimensions of the dilated picture are ...
4·4 in = 16 in . . . by . . . 4·6 in = 24 in
Then the perimeter of the painting is the sum of the lengths of its sides ...
16 in + 24 in + 16 in + 24 in = 80 in
Answer:
80in
Step-by-step explanation:
The scale factor of the dilation is 4, so a 1 inch by 1 inch square on the photograph represents a 4 inch by 4
inch square on the painting.
The height of the image is the product of the height of the preimage and the scale factor.
w=4(6)=24
in
.
The width of the image is the product of the width of the preimage and the scale factor.
h=4(4)=16
in
.
So, the perimeter is
P=2(16)+2(24)=80
in
.
The figure shows two rectangles. The larger rectangle is 16 inches long and 24 inches wide. The smaller rectangle is 4 inches long and 6 inches wide. The sides of the larger rectangle are parallel to the corresponding sides of the smaller one, respectively.
Therefore, the perimeter of the painting is 80
inches.
Which relationship describes angles 1 and 2?
Select each correct answer.
complementary angles
supplementary angles
vertical angles
adjacent angles
A line goes left to right with a ray in the middle creating a right angle and another ray between the right angle with a one labeling the left angle and a two labeling the right angle
Sounds like your describing complementary angles (a pair of angles that add up to be 90 degrees) but not super sure based on that description you have there.
Tell me does it look like this:
The adjacent angles' relationship describes angles 1 and 2, angle 1 and angle 2 are adjacent angles option fourth is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have a statement about the angle 1 and angle 2:
A line goes left to right with a ray in the middle creating a right angle and another ray between the right angle, with one labeling the left angle and two labelings the right angle.
We can draw as shown in the picture.
As we can see in the figure, angles 1 and angle 2 are adjacent angles because they have a common vertex.
Angle 2 = 90 degree
Angle 1 = 45 degree
Thus, the adjacent angles' relationship describes angles 1 and 2, angle 1 and angle 2 are adjacent angles option fourth is correct.
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The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −15
0 −10
1 −5
g(x)
g(x) = 2x + 8
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answer:
Step-by-step explanation:
If you want to compare the 2 slopes, you first have to know what they are. From the table we can find it by plugging in some numbers to the slope formula and doing the math on it:
[tex]m=\frac{-10-(-15)}{0-(-1)}[/tex]
which gives us a slope of 5.
From the equation, which is in y = mx + b form, m stands for slope. The number in the m position is 2. In a sentence:
The slope found in the values from the table, 5, is greater than the slope found in the linear equation, 2.
Part B: The y-intercept exists where x = 0. Looking at the values in the table, where x = 0, y = -10. So the y-intercept of the line in the table is -10. In y = mx + b, the linear equation, 8 = b, which is also the y-intercept. So the y-intercept in the table is -10 and the y-intercept in the equation is 8. The y-intercept is greater in the equation than in the table because 8 is greater than -10
the diagram shows JKL. Which term describes point M?
orthogonal = perpendicular.
an altitude in a triangle is the perpendicular distance stemming from a vertex.
where all these orthogonal segments meet is the ORTHOcenter.
The described point M is a Orthocenter.
What is an Orthocenter?"The orthocenter is the point where all the three altitudes of the triangle cut or intersect each other. Here, the altitude is the line drawn from the vertex of the triangle and is perpendicular to the opposite side. Since the triangle has three vertices and three sides, therefore there are three altitudes."
"The orthocenter will vary for different types of triangles such as Isosceles, Equilateral, Scalene, right-angled, etc. In the case of an equilateral triangle, the centroid will be the orthocenter. But in the case of other triangles, the position will be different. Orthocenter doesn’t need to lie inside the triangle only, in case of an obtuse triangle, it lies outside of the triangle."
In this figure, the altitudes of triangle JKL is given.
Since, these are altitudes they interest each other at orthocenter.
Hence, A is the correct answer.
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Suppose the expression a(b)n models the approximate number of customers who applied for a credit card every month since a bank opened,where a is the inital number of customers who applied,b is the rate of increase in the number of people who applied every month and n is the number if months since the bank opened. If the expression below models the number of applicants for a credit card,what is the correct interpretation of the second factor?
Answer:
i need it too
Step-by-step explanation:
simplify. -3x = 50
a. -150
b. 150
c. 16 2/3
d. -16 2/3
Answer:
[tex]\large\boxed{d.\ -16\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]-3x=50\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{50}{-3}\\\\x=-16\dfrac{2}{3}[/tex]
A realtor is studying the graph above, which shows the expected value of properties in her area over the next 24 years. If t represents the number of years after 2014, in what year should the increase in property values start to slow down?
Answer:
2030
Step-by-step explanation:
the graph starts to decline 16 years after 2014 so 2014 + 16 = 2030
Which of the following situations can be modeled by a discrete random variable? Choose ALL that apply.
The time spent on the phone during the day.
The number of text messages sent in a month.
The number of students earing a 100 percent on a test.
The height of a flower in a garden.
Discrete random variables are countable values obtained by counting. Hence the correct options are 2 and 3.
The situations that can be modeled by a discrete random variable from the options provided are:
The number of text messages sent in a month.
The number of students earning a 100 percent on a test.
What is the length of the diameter of a circle inscribed in a right triangle with the length of hypotenuse c and the sum of the legs' lengths equal to m?
Answer:
diameter = m - c
Step-by-step explanation:
In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).
The sum of the lengths of the tangents from points A and B on side "c" is ...
(b-r) +(a-r) = c
(a+b) -2r = c
Now, the problem statement defines the sum of side lengths as ...
a+b = m
and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...
m -d = c
m - c = d . . . . add d-c
The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.
What is obtained by squaring the standard deviation?
Variance
Step-by-step explanation:The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma [tex]\sigma[/tex], while the variance measures how far a set of numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as [tex]\sigma^{2}[/tex]
Please explain this. Hello, I'm terrible at word problems, and I was hoping someone could give me the written equation and explain why for this word problem. (NOT FULLY WORKED OUT to answer) Here is the problem "Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or reduced fraction."
Thanks in advance!
Answer:
Anita cleans 1/8 of the pool each hour and Chao cleans 1/5 of the pool each hour.
[tex]\frac{x}{8}[/tex] + [tex]\frac{x}{6}[/tex] = [tex]\frac{7}{24}[/tex]
then you take [tex]\frac{1}{(7/4}[/tex] = [tex]\frac{27}{7}[/tex]
your answer will be
Step-by-step explanation:
Answer:
[tex]t =\frac{24}{7}\ hours[/tex]
Step-by-step explanation:
For these types of problems use the following formula.
[tex]\frac{t}{x}+\frac{t}{z} =1[/tex]
Where t is the time it takes them both to clean the entire pool if they work together.
x is the time it takes Anita to clean the pool
z is the time it takes Chao to clean the pool
So:
[tex]\frac{t}{8}+\frac{t}{6} =1[/tex]
Now solve the equation for t
[tex]\frac{7}{24}t =1[/tex]
[tex]t =\frac{24}{7}\ hours[/tex]
look ate the picture down below, and please help me i would really appreciate it
Answer:
46°
Step-by-step explanation:
When secants intersect each other and a circle, the external angle (A) is half the difference of the intercepted arcs:
∠A = (arcDC -arcBC)/2
12° = (arcDC -22°)/2 . . . . . . . fill in the given numbers
24° = arcDC -22° . . . . . . . . . multiply by 2
46° = arcDC . . . . . . . . . . . . . add 22°
Find the unit rate. Enter your answer as a mixed number. A fertilizer covers 5 6 square foot in 1 4 hour. The unit rate is square feet per hour.
Answer:
3 1/3 ft²/h
Step-by-step explanation:
To find the unit rate, divide square feet by hours:
(5/6 ft²)/(1/4 h) = (5/6)(4/1) ft²/h = 10/3 ft²/h = 3 1/3 ft²/h
A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. How high is the top of ladder against the house.
Answer:
It is 27.35 ft up the house
Step-by-step explanation:
The hypotenuse of the right triangle is 28 and the base is 6
We can use the pythagorean theorem to find how high it is
a^2 + b^2 = c^2
6^2 + b^2 = 28^2
36 + b^2 = 784
Subtract 36 from each side
36-36 + b^2 = 784-36
b^2 = 748
Take the square root of each side
b =sqrt(748)
b =27.34958866
It is 27.35 ft up the house
This is for Algebra 2 and I need help ASAP! 22pts if you show work and explanation
Describe and correct the error in solving the equation.
Answer:
Part 41) The solutions are 3 and 1
Part 42) The solution is 2 only
Step-by-step explanation:
Part 41) we have
[tex]\left|5x-9\right|=x+3[/tex]
step 1
Find the first solution (case positive)
[tex]+(5x-9)=x+3[/tex]
[tex]5x-x=3+9[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
step 2
Find the second solution (case negative)
[tex]-(5x-9)=x+3[/tex]
[tex]-5x+9=x+3[/tex]
[tex]5x+x=9-3[/tex]
[tex]6x=6[/tex]
[tex]x=1[/tex]
therefore
The negative case was resolved incorrectly
The solutions are 3 and 1
Part 42) we have
[tex]\left|n-7\right|=3n-1[/tex]
step 1
Find the first solution (case positive)
[tex]+(n-7)=3n-1[/tex]
[tex]3n-n=-7+1[/tex]
[tex]2n=-6[/tex]
[tex]n=-3[/tex]
Verify
For n=-3
substitute
[tex]\left|-3-7\right|=3(-3)-1[/tex]
[tex]\left|-10\right|=-9-1[/tex]
[tex]10=-10[/tex] ------> is not true
therefore
[tex]n=-3[/tex] -------> is not a solution
step 2
Find the second solution (case negative)
[tex]-(n-7)=3n-1[/tex]
[tex]-n+7=3n-1[/tex]
[tex]3n+n=7+1[/tex]
[tex]4n=8[/tex]
[tex]n=2[/tex]
therefore
The solution is 2
Carolina biked 1 mile more than twice the number of miles James biked. Carolina biked a total of 5 miles. Write an equation to determine how many miles James biked.
x − 1 = 2(5)
x over five = 2(1)
5 + 2x = 1
5 = 2x + 1
Answer:
5 = 2x + 1
Step-by-step explanation:
let James be x , then 1 mile more than twice number of mile of James will be 2x + 1 therefore the total number of miles biked by carolina will be 2x + 1 = 5
The equation 5 = 1 + 2x represents the number of miles Jack biked, option fourth is correct.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let x be the number of miles James biked.
Then, according to the problem:
Carolina biked 1 mile, more than twice the number of miles James biked.
5 = 1 + 2x (as the Carolina biked a total of 5 miles)
Thus, the equation 5 = 1 + 2x represents the number of miles Jack biked option fourth is correct.
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I need help asap!!! The person who answers and shows their work on they got the answer first will be marked the brainliest!!!
Answer:
this is your answer below i used a graphing calculator
Step-by-step explanation:
Find the solution of this system of equations -2x=2+y , -6x-y=-2
Answer:
x = 1 and y = -4
Step-by-step explanation:
It is given that,
-2x = 2 + y
-2x - y = 2 ---(1)
-6x - y = -2 ----(2)
To find the solution of equations
Step 1: Subtract eq(2) from eq(1)
-2x - y = 2 ---(1)
-6x - y = -2 ----(2)
4x + 0 = 4
x = 4/4 = 1
Step 2: Substitute the value of x in eq (1)
-2x - y = 2 ---(1)
-2*1 - y = 2
-2 - y = 2
y = -2 - 2 = -4
Therefore x = 1 and y = -4
What is magma? a. The molten mixture of rock-forming substances, gases, and water from the mantle.. c. Hardened lava on the surface of the Earth. b. Liquid rock that reaches the surface. d. All of the above Please select the best answer from the choices provided A B C D
Answer:
The answer is c
Step-by-step explanation:
When the lava cools and hardens it becomes igneous rock.
Answer:
The correct answer is A., "The molten mixture of rock-forming substances, gases, and water from the mantle.."
Which statement is correct? 1. A horizontal line has no slope. 2. A vertical line has a slope of zero. 3. A line that rises from left to right has a positive slope. 4. A line that falls from right to left has a negative slope.
Answer:
It's 3.
Step-by-step explanation:
A line that rises from left to right has a positive slope.
1. confuses me a little because we would say a horizontal line has zero slope - but I guess that's not the same as 'no slope'.
A line that rises from left to right has a positive slope. The correct option is option 3.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
If the right side of the line is higher or has a higher vertical value than the left side of the line, the slope is said to be positive.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
y = mx + c
Here, m is the slope of the line. The slope of the line is the ratio of the rise to the run.
Therefore, a line that rises from left to right has a positive slope. The correct option is 3.
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Please help me with this math question
Answer:
Required probability = 1/6
Step-by-step explanation:
It is given that,
A red die is tossed the a green die is tossed
The possible outcomes of getting number greater than three when tossing red die are, 4, 5, and 6
The probability of tossing red die = 3/6
The possible outcomes of getting number less than three when tossing green die are 1 and 2
Probability of tossing green = 2/6
To find the required probability
Probability of getting red die shows greater than three and gree die shows less than three = (3/6)*(2/6) = 1/6
Find the slope of the line on the graph.
Need help please
Answer:
The slope is 3
Step-by-step explanation:
The formula for finding slope is change in y over change in x. Also known as rise over run. Go up 3 and go right 1 to get from one point to the next.
Answer:
=3
Step-by-step explanation:
Lets consider any 2 points on the line such as (0,2) and (1,5).
The slope of a line = Δy/Δx
Δy = y₂-y₁
Δx = x₂-x₁
y₁=2
y₂=5
x₁=0
x₂= 1
we can now use these values from the two points on the line.
Gradient= (5-2)/(1-0)
=3
Jake recorded a special album in honor of Mother's Day his mom was so excited she purchased 40% of the copies in the store she has 80 copies of the CD how many CDs did the store hide for sale
Answer:
200 CDs
Step-by-step explanation:
80 is 40% of 200
40% - 80
100% - x
[tex]x=\dfrac{100\%\cdot80}{40\%}=200[/tex]
200 CDs
What is the solution to the equation below? (Round your answer to two
decimal places.)
3.6* = 15.57
Answer:
is this multiplication?
if so, 4.33
Step-by-step explanation:
just use division:
15.57/3.6=4.325 or rounded to two decimal places 4.33
What is the domain of the following function?
Answer:
All real numbers
Step-by-step explanation:
The domain of this is all real numbers. The x values will never keep going down (to negative infinity) and will also never stop growing (to positive infinity).
The domain of a function consists of all possible input values. For a student's major (X), it includes all university majors, for the number of classes taken (Y), it's non-negative integers up to a maximum number, and for the amount spent on books (Z), it's any non-negative real number. X, Y, and Z are random variables as they are determined after an experiment like a survey.
Explanation:The domain of a function refers to the set of all possible input values that the function can accept. For the cases given:
The domain of X, when X stands for a student's major, is a set comprising all the majors offered by the university, including the option to be undeclared.The domain of Y, representing the number of classes taken in a previous semester, consists of non-negative integers that go from zero to the maximum number of classes a student can enroll in at the university.The domain of Z, indicating the amount of money spent on books in a previous semester, could include any non-negative real number, meaning any amount greater than or equal to zero.X, Y, and Z are considered random variables because their values are determined by the outcome of some experiment or random process, like a survey or an academic semester, and are only known once that process is complete. If Z were to equal -7, that would not be a possible value because you cannot spend a negative amount on books; hence, Z must always be non-negative.
Two essential characteristics of a discrete probability distribution include a finite or countably infinite set of values, and the sum of probabilities of all possible values must equal 1.
Considering a geometric experiment, such as drawing cards from a 52-card deck until a specific card is drawn:
If drawing without replacement until any red card is drawn, then the domain is the set of positive integers (1, 2, 3, ...) up to the total number of cards drawn.If drawing with replacement until the Queen of Hearts is drawn, the domain is theoretically all positive integers because there is always a chance, however small, of not drawing the Queen of Hearts after any number of draws.